NCERT Class 12-Mathematics: Exemplar Chapter –4 Determinants Part 11

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Question 22:

Prove that is divisible by and find the quotient

Answer:

Let

Now, expanding along

Hence, given determinant is divisible by and quotient is

Question 23:

If , prove that

Answer:

Given:

Taking LHS,

Expanding along the first row, we get

It is given that

Hence Proved

Objective Type Questions (M.C.Q.)

Choose the Correct Answer from Given Four Options in Each of the Exercises from 24 to 37

Question 24:

If , then value of is

(A)

(B)

(C)

(D)

Answer: (C)

Question 25:

The value of determinant

(A)

(B)

(C)

(D) None of these

Answer: (C)

Question 26:

The area of a triangle with vertices and is . units. The value of will be

(A)

(B)

(C)

(D)

Answer: (B)